# In a triangle 30a + 6b = 5c . find a, b, c

2
by mayank121

2014-09-01T18:29:24+05:30

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GIVEN,  5c = 30 a + 6 b, DIVIDE by 5 to get

c = 6 a + 1.2 b
c  = (a + b)  + (5a +0.2b)
c > a + b

a and b are always positive.  It means that c > a+b that means it is not a triangle.  If c < a+b then it can be a triangle. In a triangle sum of two sides is always greater than the third.

A triangle is not possible with the above relation among the sides.

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thanks & u r welcom
2014-09-02T02:57:57+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
30a + 6b = 5c

First of all, note that 5 * 6 = 30, so what we can assume is,
a = x
b = 5y

Then,
5c = 30x + 30y
c = 6(x + y)
c = 6x + 6y
for x, y > 0

Now check the triangular inequality,
(1) a + b > c, this gives 5x + y < 0
(2) a + c > b, this gives 7x + y > 0
(3) b + c > a, this gives 5x + 11y > 0

Now inequality (1) has no solution for x, y > 0

Thus, NO Triangle Possible ...